arielurbina0304 arielurbina0304
  • 24-08-2021
  • Mathematics
contestada

What is the equation of the line that passes through the point (6,3) and has a slope
of -1/3?

What is the equation of the line that passes through the point 63 and has a slope of 13 class=

Respuesta :

davidhliu06 davidhliu06
  • 24-08-2021
The equation is y = -1/3x + 5
Answer Link
jimrgrant1 jimrgrant1
  • 24-08-2021

Answer:

y = - [tex]\frac{1}{3}[/tex] x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{1}{3}[/tex] , then

y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

To find c substitute (6, 3 ) into the partial equation

3 = - 2 + c ⇒ c = 3 + 2 = 5

y = - [tex]\frac{1}{3}[/tex] x + 5 ← equation of line

Answer Link

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